Question
Asked Nov 3, 2019
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Given a sequence (xn) and a real number L , prove or give a counterexample for the following statement:

(xn) converges to L if and only if  (|xn − L|) converges to 0

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Expert Answer

Step 1

It is given that:

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(x) is a sequence that converges to / and it is needed to prove that: x-converges to 0

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Step 2

Since it is given that:

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(x2)-that is for E0 there exist &>0 such that x-<E

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Step 3

It is needed to p...

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X2 0 that is (r,-)-0<E for E0 there exist S>0 such that

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